Oscillation Criteria of Certain Third‐Order Differential Equation with Piecewise Constant Argument

Haihua Liang and Gen-qiang Wang

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: We study the oscillation and asymptotic behavior of third‐order nonlinear delay differential equation with piecewise constant argument of the form (r2(t)(r1(t)x′(t))′)′ + p(t)x′(t) + f(t, x([t])) = 0. We establish several sufficient conditions which insure that any solution of this equation oscillates or converges to zero. Some examples are given to illustrate the importance of our results.

Date: 2012
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https://doi.org/10.1155/2012/498073

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:498073

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